Displacement structure of pseudoinverses

DOI10.1016/0024-3795(94)90506-1zbMath0796.15007OpenAlexW2078303291MaRDI QIDQ1320009

Georg Heinig, Frank Hellinger

Publication date: 10 October 1994

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(94)90506-1

zbMATH Keywords

Hankel operatorToeplitz operatorToeplitz matrixHankel matrixsingular integral operatorsgeneralized inversedisplacement structurepseudoinverseVandermonde matrixCauchy matrixdisplacement rankBézout operatorintegral operators with displacement kernel

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Hermitian, skew-Hermitian, and related matrices (15B57) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Integral operators (45P05) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items

Displacement rank of the Drazin inverse, Displacement structure of generalized inverse matrices, Displacement structure of the generalized inverse \(A_{T,S}^{(2)}\), The finite section method for Moore-Penrose inversion of Toeplitz operators, Displacement structure of the core inverse, Generalized Cauchy-Vandermonde matrices, Modified SMS method for computing outer inverses of Toeplitz matrices, Displacement structure of \(W\)-weighted Drazin inverse \(A_{d,W}\) and its perturbation, Displacement structure of weighted pseudoinverses, Structures preserved by generalized inversion and Schur complementation, Displacement structure of the DMP inverse

Cites Work

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• Displacement ranks of matrices and linear equations
• On the Bezoutian Structure of the Moore–Penrose Inverses of Hankel Matrices
• Complexity of Computations with Matrices and Polynomials
• Moore–Penrose Inversion of Square Toeplitz Matrices